Article: Upper and lower bounds for evaluation of nonlinear fracture parameters

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TitleUpper and lower bounds for evaluation of nonlinear fracture parameters
AuthorsSze, KY1
Wu, CC
Huang, YQ
KeywordsBound Theorems
Finite Element Method
I*-Integral
J-Integral
Nonlinear Fracture
Issue Date1999
PublisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/engfracmech
CitationEngineering Fracture Mechanics, 1999, v. 62 n. 2-3, p. 185-201 [How to Cite?]
AbstractBound theorems for estimating small strain nonlinear fracture parameters are proposed. It is found that the lower bound for the J-integral can be obtained by a compatible displacement finite element method. On the other hand, the upper bound of the I*-integral, which is the dual counterpart of the J-integral, can be obtained by an equilibrium finite element method. To verify the theorems and avoid the difficulty of designing equilibrium finite element models, the popular Pian-Sumihara hybrid stress model is modified by incorporating a penalty-equilibrium constraint. Moreover, an incremental formulation of the I*-integral for nonlinear finite element computation is developed. Numerical examples on different crack and loading configurations are presented. All the results indicate the validity of the theorems. © 1999 Elsevier Science Ltd. All rights reserved.
ISSN0013-7944
2011 Impact Factor: 1.353
2011 SCImago Journal Rankings: 0.076
ReferencesReferences in Scopus
DC Field
Value
dc.contributor.authorSze, KY
dc.contributor.authorWu, CC
dc.contributor.authorHuang, YQ
dc.date.accessioned2012-08-08T08:42:42Z
dc.date.available2012-08-08T08:42:42Z
dc.date.issued1999
dc.description.abstractBound theorems for estimating small strain nonlinear fracture parameters are proposed. It is found that the lower bound for the J-integral can be obtained by a compatible displacement finite element method. On the other hand, the upper bound of the I*-integral, which is the dual counterpart of the J-integral, can be obtained by an equilibrium finite element method. To verify the theorems and avoid the difficulty of designing equilibrium finite element models, the popular Pian-Sumihara hybrid stress model is modified by incorporating a penalty-equilibrium constraint. Moreover, an incremental formulation of the I*-integral for nonlinear finite element computation is developed. Numerical examples on different crack and loading configurations are presented. All the results indicate the validity of the theorems. © 1999 Elsevier Science Ltd. All rights reserved.
dc.description.natureLink_to_subscribed_fulltext
dc.identifier.citationEngineering Fracture Mechanics, 1999, v. 62 n. 2-3, p. 185-201 [How to Cite?]
dc.identifier.epage201
dc.identifier.hkuros41156
dc.identifier.issn0013-7944
2011 Impact Factor: 1.353
2011 SCImago Journal Rankings: 0.076
dc.identifier.issue2-3
dc.identifier.scopuseid_2-s2.0-0032652338
dc.identifier.spage185
dc.identifier.urihttp://hdl.handle.net/10722/156502
dc.identifier.volume62
dc.languageeng
dc.publisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/engfracmech
dc.publisher.placeUnited Kingdom
dc.relation.ispartofEngineering Fracture Mechanics
dc.relation.referencesReferences in Scopus
dc.subjectBound Theorems
dc.subjectFinite Element Method
dc.subjectI*-Integral
dc.subjectJ-Integral
dc.subjectNonlinear Fracture
dc.titleUpper and lower bounds for evaluation of nonlinear fracture parameters
dc.typeArticle
Author Affiliations
  1. The University of Hong Kong
  2. University of Science and Technology of China